Two dice are thrown simultaneously. What is the probability that at least one…
1996
Two dice are thrown simultaneously. What is the probability that at least one of them shows 6 facing up?
- A.
1/36
- B.
1/3
- C.
25/36
- D.
11/36
Attempted by 4 students.
Show answer & explanation
Correct answer: D
there are 36 equally likely ordered outcomes when two dice are thrown.
use the complement event: no die shows 6. for each die, there are 5 non-six outcomes, so the number of outcomes with no 6 is 5 * 5 = 25.
therefore, favorable outcomes for at least one 6 = 36 - 25 = 11.
probability = 11/36. hence option d is correct.